Lujin ZHU

135103

On Fs-supplemented primary subgroups of finite groups

Let G be a finite group and F a formation of finite groups. A subgroup H of G is called Fs-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)HG/HG is contained in the F-hypercenter ZF\infty(G/HG) of G/HG. In this paper, we study the structure of finite groups by using Fs-supplemented subgroups.

Anahtar Kelimeler:

Sylow subgroup, Fs-supplemented subgroup, saturated formation, finite groups

On Fs-supplemented primary subgroups of finite groups

Let G be a finite group and F a formation of finite groups. A subgroup H of G is called Fs-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)HG/HG is contained in the F-hypercenter ZF\infty(G/HG) of G/HG. In this paper, we study the structure of finite groups by using Fs-supplemented subgroups.

Keywords:

Sylow subgroup, Fs-supplemented subgroup, saturated formation, finite groups,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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